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Q: Given Rn 2+i- cos ( 2+i , express the limit as n → 0 as a definite integral, that is provide a, b…

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Q: Evaluate the integral. Show that the substitution x = V6 sec(0) transforms I into fcos(0) d0, and…

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Q: emplicit differuntintion to find an Use equaton of 44 tangent line to yle graph of ve equation given…

A: The given equation,       arcsin4x+arcsin3y=π2,  28,26

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A: Solve the following

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Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

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Q: mZA = 70°, c= 26, a = 25 %3D %3D

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Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

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Q: The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10 for 0 ≤ t ≤…

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Q: Determine the following Laplace transforms: (i) mathcal L \ cos^ 2 3t\ .

A: Given

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 sin“(n)…

A: We have to find the convergence of series

Q: Consider the following functions. f(x) g(x) = 8 sin x = 8 cos 2x 6 Sketch the region bounded by the…

A: Solved below

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Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

A: We need to estimate value.

Q: Plot the point whose polar coordinates are given. (4, 9/4)

A: The objective of the question is plotting the point in the polar co-ordinates and choose the correct…

Q: dx /1 + 6x²

A: We have to find integration.

Q: Solve the following differential equations of dy 1 y= xy': + dx

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Q: Find the surface area of a sphere at the instant when the rate of increase of the volume of the…

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Q: sincxt sintpx)dx -元 -IK 1/0

A: 1π∫-ππsinx sin(px) dxusing property∫-aaf(x) dx= 2∫0af(x) dx ;  f(-x)=f(x)=1π×2∫0πsinx sin(px)…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…

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Q: (c) Show that the differential equation ry" – 3y + zy = 0 has a general solution of the form y(z) =…

A: given that differential equation   xy'' - 3y' + xy = 0…

Q: I really need your help, just want a guide or like a script type how to explain this on class each…

A: Here, you have to find the area bounded by the loop of the given curve. The given curve is: y2=x5-x2

Q: Consider the function f(x) on the interval [1, 11]. Find the average or mean slope of the function…

A: Given,  f(x)=1x

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Compute f, for f(x,y)=xln(xy). %3D

A: We can find the answers as below.

Q: u-3 15) If y= u+4 and u = 2/x+ 2, find when x = 7 dx %3D

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Q: answer

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Q: Find a particular solution of the DE: y" – 6y' + 8y = 64x?. C. yp = 8x + 12x + 7 E. None A. Yp = 4x?…

A: Solve it

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Q: Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean…

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Q: 1 dx Vx - Vx 3

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Q: At which point will the plane 2x + 4y – 3z = -48 and the line given by the parametric equations x =…

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Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

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Q: Area of the polar graph

A: Topic:- geometry

Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

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Q: ind for by Implicit differchtioution 2(xu)

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Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

A: We have to choose correct option

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: 4. Evaluate lim (cos r)/". エ→0

A: we want to find the limit limx→0 ( cosx )1x2

Q: Solve for the gradient of the given function. f(x, y) = e¤ sin y + el cos x

A: Given,  f(x,y)=ex sin y+ey cos x

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Q: Oil is leaking out of a ruptured tanker at the rate of r(t)=40e^(-0.03t) thousand liters per minute.…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Provide an appropriate response. Find f(n) if f(t) dt x sin 8x.

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Q: 3x+2 dy for y = In, dx 2. Find Fully simplify your answer 3x-2

A: Solving the problem by finding the derivative.

Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differenti dt dt the product directly and…

A: We have, r1(t)=3t i+7t2 j+4t3 k , r2(t)=t4k

Q: A water tank is in the shape of an inverted cone. The height of the cone is 10 meters and the…

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Q: f(x) = 2 – 5x², - 5< x < 1.

A: